Geodesic
On a Class of Optimal Decision Functions for a Binomial Family of Distributions
Teoriâ veroâtnostej i ee primeneniâ, Tome 4 (1959) no. 1, pp. 101-105

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Resolving functions are described that minimize the weighted sum of errors of the first and second kind for $p=p_1,p_2$ and the mathematical expectation of a number of sequential tests for $p=p_0$ ($p_1 p_0 p_2$). 
@article{TVP_1959_4_1_a5,
     author = {I. N. Kovalenko},
     title = {On a {Class} of {Optimal} {Decision} {Functions} for a {Binomial} {Family} of {Distributions}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {101--105},
     publisher = {mathdoc},
     volume = {4},
     number = {1},
     year = {1959},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1959_4_1_a5/}
}
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I. N. Kovalenko. On a Class of Optimal Decision Functions for a Binomial Family of Distributions. Teoriâ veroâtnostej i ee primeneniâ, Tome 4 (1959) no. 1, pp. 101-105. http://geodesic.mathdoc.fr/item/TVP_1959_4_1_a5/